À Maneira de Um Colar de Pérolas?

Revista Portuguesa de Filosofia 73 (3-4):1381-1404 (2017)
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Abstract

This paper offers an overview of various alternative formulations for Analysis, the theory of Integral and Differential Calculus, and its diverging conceptions of the topological structure of the continuum. We pay particularly attention to Smooth Analysis, a proposal created by William Lawvere and Anders Kock based on Grothendieck’s work on a categorical algebraic geometry. The role of Heyting’s logic, common to all these alternatives is emphasized.

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André Porto
Universidade Federal de Goiás

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